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Finding the Fourth Proportional to 2,857.11, 3,944.71 and 1,914.11

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Solution

The fourth proportional to 2,857.11, 3,944.71 and 1,914.11 is: 2,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.11 : 3,944.71 = 1,914.11 : x
  2. Step 2: Convert to fraction form
    2,857.11/3,944.71 = 1,914.11/x
  3. Step 3: Cross multiply
    2,857.11x = 3,944.71 × 1,914.11
  4. Step 4: Simplify right side
    2,857.11x = 7,550,608.86
  5. Step 5: Solve for x
    x = 7,550,608.86/2,857.11
  6. Step 6: Final answer
    x = 2,642.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.